Cremona's table of elliptic curves

3900 = 2² · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	3900i	Isogeny class
Conductor	3900	Conductor
∏ cp	156	Product of Tamagawa factors cp
deg	37440	Modular degree for the optimal curve
Δ	-259077487500000000 = -1 · 28 · 313 · 511 · 13	Discriminant
Eigenvalues	2- 3- 5+ -3  1 13+  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4867,-24487137]	[a1,a2,a3,a4,a6]
Generators	[2173:-101250:1]	Generators of the group modulo torsion
j	3186827264/64769371875	j-invariant
L	3.9774093693877	L(r)(E,1)/r!
Ω	0.14336104831879	Real period
R	0.17784617373637	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15600bb1 62400bc1 11700m1 780b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3900i1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	-3	1	+	3	-2	-5	-6	10	-5	3	-4	-6	-5	-8	1	-12	1	10	-1	0	1	-3

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Quadratic twists for elliptic curve 3900i1

-4	8	-3	5	13
15600bb1	62400bc1	11700m1	780b1	50700bb1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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